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Finding the Third Proportional to 2,286.75 and 4,869.25

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Solution

The third proportional to 2,286.75 and 4,869.25 is: 10,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.75 : 4,869.25 = 4,869.25 : x
  2. Step 2: Convert to fraction form
    2,286.75/4,869.25 = 4,869.25/x
  3. Step 3: Cross multiply
    2,286.75x = 4,869.25 × 4,869.25
  4. Step 4: Simplify right side
    2,286.75x = 23,709,595.56
  5. Step 5: Solve for x
    x = 23,709,595.56/2,286.75
  6. Step 6: Final answer
    x = 10,368.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.